Families and genera
* Family † Choiidae Laubenfels, 1925 ** Genus †'' Allantospongia'' Rigby & Hou, 1995 ** Genus †'' Choia'' Walcott, 1920 ** Genus †'' Choiaella'' Rigby & Hou, 1995 ** Genus †'' Lenica'' Goryanskiy, 1977 * Family † Halichondritidae Rigby, 1986 ** Genus †'' Halichondrites'' Walcott, 1920 ** Genus †'' Pohlispongia'' Rigby & von Bitter, 2005 * Family † Hamptoniidae De Laubenfels, 1955 ** Genus †'' Hamptonia'' Walcott, 1920 ** Genus †'' Hamptoniella'' Rigby & Collins, 2004 * Family † Hazeliidae De Laubenfels, 1955 ** Genus †'' Crumillospongia'' Rigby, 1986 ** Genus †'' Falospongia'' Rigby, 1986 ** Genus †'' Hazelia'' Walcott, 1920 * Family † Leptomitidae De Laubenfels, 1955 ** Genus †'' Leptomitus'' Walcott, 1886 ** Genus †'' Paraleptomitella'' Chen et al., 1989 ** Genus †'' Pseudoleptomitus'' Botting et al., 2019 ** Genus †'' Wareiella'' Rigby & Harris, 1979 * Genus †'' Lobatospongia'' Rigby et al., 2007 * Family † Piraniidae De Laubenfels, 1955 ** Genus †'' Moleculospina'' Rigby, 1986 ** Genus †'' Pirania'' Walcott, 1920 * Family † Takakkawiidae De Laubenfels, 1955 ** Genus †'' Takakkawia'' Walcott, 1920 * Family † Ulospongiellidae Rigby & Collins, 2004 ** Genus †'' Hapalospongia'' Rigby & Collins, 2004 ** Genus †'' Ulospongiella'' Rigby & Collins, 2004 * Family † Wapkiidae De Laubenfels, 1955 ** Genus †'' Wapkia'' Walcott, 1920 The following families from the orderReferences
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